کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610256 1338553 2014 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spectral properties of Sturm–Liouville operators with local interactions on a discrete set
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Spectral properties of Sturm–Liouville operators with local interactions on a discrete set
چکیده انگلیسی

This paper deals with the spectral properties of the Sturm–Liouville operators generated by the differential expressionL(y)=1w(−(p(x)y′)′+υ(x)y) with singular coefficients υ(x)υ(x) in the sense of distributions. In particular, we study the operators with δ  -type point interactions at the centers xkxk on the positive half line in terms of energy forms. Necessary and sufficient conditions and also simple sufficient conditions are given for the spectrum of the operators to be discrete. We also prove sufficient conditions on the stability of the continuous spectrum.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 257, Issue 9, 1 November 2014, Pages 3423–3447
نویسندگان
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